Question

a selection committee interviewed some people for two post of sales manager. the committee wanted the female candidates be given better chance. So they called male and female candidates in such a manner that the probability of selection of female candidate is 5/8.

a) if 6 male candidate were interviewed how many female candidates were interviewed?

b) which value is shown by the selection committee?

Answer 1

$$\begin{gathered} Giventhat,Probabilityofselectionoffemalecandidateis\frac{5}{8}. \\ Letnumberoffemalecandidate=x \\ Givenmalecandidate=6 \\ So,Totalnumberofcandidate=x+6 \\ Thus, \\ P\left(selectionoffemalecandidate\right)=\frac{Femalecandidate}{Totalcandidate} \\ \Rightarrow \frac{5}{8}=\frac{x}{x+6} \\ \Rightarrow 5x+30=8x \\ \Rightarrow 3x=30 \\ \Rightarrow x=10 \\ Hence,10femalecandidateswereinterviewed. \end{gathered}$$